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Finding the Fourth Proportional to 524,933.40, 724,407.90 and 286,469.40

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Solution

The fourth proportional to 524,933.40, 724,407.90 and 286,469.40 is: 395,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,933.40 : 724,407.90 = 286,469.40 : x
  2. Step 2: Convert to fraction form
    524,933.40/724,407.90 = 286,469.40/x
  3. Step 3: Cross multiply
    524,933.40x = 724,407.90 × 286,469.40
  4. Step 4: Simplify right side
    524,933.40x = 207,520,696,468.26
  5. Step 5: Solve for x
    x = 207,520,696,468.26/524,933.40
  6. Step 6: Final answer
    x = 395,327.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.